<span>8^<span>−2
</span></span><span>=<span>1/(<span>8*8)
</span></span></span><span>=</span><span><span><span>1/64
</span>the answer is 1/64</span></span>
<h2><u>Circle Equations</u></h2>
<h3>Write the equation of a circle in standard form for the following:</h3><h3>x² − 14x + 49 + y² + 4y = 0</h3>
To write the general form of a circle into standard form, use the formula
<em>(x - h)² + (y - k)² = r²</em>
Where,
<u>(h, k)</u> is the center; and
<u>r</u> is the radius
To transform general form to standard form, group the terms that has the same variables. Replace 0 with the constant term.
- x² - 14x + 49 + y² + 4y = 0
- (x² - 14x) + (y² + 4y) = -49
Next step is to complete the square of each equation inside the parentheses.
- (x² - 14x) + (y² + 4y) = -49
- (x² - 14x - 49) + (y² + 4y + 2) = -49 - 49 + 2
Then factor each equation inside the parentheses.
- (x² - 14x - 49) + (y² + 4y + 2) = -49 - 49 + 2
- (x - 7)² + (y + 2)² = √2
- (x - 7)² + (y + 2)² = 4
<u>Answer:</u>
- The standard form of the circle is <u>(x - 7)² + (y + 2)² = 4</u>.
Wxndy~~
It should be 5. When you distribute the 4, it turns into 4x then (4•-7) = -28. Add 28 to -8 and you get 20. Divide 4 on Both sides and X=5
Answer:
5/6
Step-by-step explanation:
(-5/8)÷(-3/4)=(-5/8)X(-4/3)=5/8 x4/3=5/6